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10003425120 = 2532513534371
BaseRepresentation
bin10010101000100000…
…00010011101100000
3221211011012122111200
421110100002131200
5130441334100440
64332344041200
7502615465503
oct112420023540
927734178450
1010003425120
114273744397
121b32163200
13c35619480
146ac7b513a
153d8337c30
hex254402760

10003425120 has 144 divisors (see below), whose sum is σ = 36762656112. Its totient is φ = 2462376960.

The previous prime is 10003425079. The next prime is 10003425127. The reversal of 10003425120 is 2152430001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10003425093 and 10003425102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003425127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248466 + ... + 285905.

It is an arithmetic number, because the mean of its divisors is an integer number (255296223).

Almost surely, 210003425120 is an apocalyptic number.

10003425120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003425120 is an abundant number, since it is smaller than the sum of its proper divisors (26759230992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003425120 is a wasteful number, since it uses less digits than its factorization.

10003425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534405 (or 534394 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10003425120 its reverse (2152430001), we get a palindrome (12155855121).

The spelling of 10003425120 in words is "ten billion, three million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 534371 1068742 1603113 2137484 2671855 3206226 4274968 4809339 5343710 6412452 6946823 8015565 8549936 9618678 10687420 12824904 13893646 16031130 17099872 19237356 20840469 21374840 24046695 25649808 27787292 32062260 34734115 38474712 41680938 42749680 48093390 51299616 55574584 62521407 64124520 69468230 76949424 83361876 85499360 96186780 104202345 111149168 125042814 128249040 138936460 153898848 166723752 192373560 208404690 222298336 250085628 256498080 277872920 312607035 333447504 384747120 416809380 500171256 555745840 625214070 666895008 769494240 833618760 1000342512 1111491680 1250428140 1667237520 2000685024 2500856280 3334475040 5001712560 10003425120